11/172 added to 127/4 in Fraction Form

The result of 11/172 added to 127/4 is: 31 35/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11172 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 172 and 4 is 172.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11172 to 11172
Convert 1274 to 5461172

Step 4: Add the Numerators

Add the numerators: 11 + 5461 = 5472

Step 5: Simplify the Fraction

We can simplify 5472172 to its lowest form.
The greatest common divisor (GCD) of 5472 and 172 is 4.
Dividing both numerator and denominator by the GCD, we get 136843.

Step 6: Convert to Mixed Number

The fraction 136843 can be written as the mixed number 313543.

Final Answer

The result of 11/172 added to 127/4 is:

11172+1274=313543

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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